78/182 added to 18/4 in Fraction Form

The result of 78/182 added to 18/4 is: 4 13/14

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 78182 and 184.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 182 and 4 is 364.

Step 3: Convert Fractions to Equivalent Fractions

Convert 78182 to 156364
Convert 184 to 1638364

Step 4: Add the Numerators

Add the numerators: 156 + 1638 = 1794

Step 5: Simplify the Fraction

We can simplify 1794364 to its lowest form.
The greatest common divisor (GCD) of 1794 and 364 is 26.
Dividing both numerator and denominator by the GCD, we get 6914.

Step 6: Convert to Mixed Number

The fraction 6914 can be written as the mixed number 41314.

Final Answer

The result of 78/182 added to 18/4 is:

78182+184=41314

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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